Another simple and popular way to deal with that type of mast lowering and raising situation is to use a fulcrum or gin pole which is attached to the mast at about the halfway point and will extend perpendicular to the mast for a distance of about a third to half the length of the mast.
In practice, a line is attached to the top of the mast, passed over (through an eye) the top of the fulcrum pole which changes the angle of effort.
It makes it pretty easy to them lower and raise the mast from the flybridge deck. It does help to have a saddle down at lower deck level somewhere to receive and hold the mast.
You can see a drawing of such a fulcrum pole on page 4 of the attachment in this link. http://nwpotters.org/man/P19manual-new.pdf